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Finding the Fourth Proportional to 462,802.84, 693,411.78 and 252,588.28

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Solution

The fourth proportional to 462,802.84, 693,411.78 and 252,588.28 is: 378,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,802.84 : 693,411.78 = 252,588.28 : x
  2. Step 2: Convert to fraction form
    462,802.84/693,411.78 = 252,588.28/x
  3. Step 3: Cross multiply
    462,802.84x = 693,411.78 × 252,588.28
  4. Step 4: Simplify right side
    462,802.84x = 175,147,688,841.94
  5. Step 5: Solve for x
    x = 175,147,688,841.94/462,802.84
  6. Step 6: Final answer
    x = 378,449.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.